672883200 has 600 divisors, whose sum is σ = 2762836560. Its totient is φ = 160358400.

The previous prime is 672883199. The next prime is 672883223. The reversal of 672883200 is 2388276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11404771 + ... + 11404829.

Almost surely, 2^672883200 is an apocalyptic number.

672883200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381418280).

672883200 is an abundant number, since it is smaller than the sum of its proper divisors (2089953360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

672883200 is a wasteful number, since it uses less digits than its factorization.

672883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 672883200 is about 25939.9922898986. The cubic root of 672883200 is about 876.2873892863.

The spelling of 672883200 in words is "six hundred seventy-two million, eight hundred eighty-three thousand, two hundred".